7th Grade Similar Figures

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

If two triangles are similar, what can we say about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, what can we say about the ratios of their corresponding sides?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

What is the term for figures that are the same shape and size?

Back

Congruent.

Front

If the sides of two similar triangles are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9 (the square of the side length ratio).

Front

What is the missing side if triangle ABC is similar to triangle DEF and the sides are in the ratio 1:4? If side AB = 5, what is side DE?

Back

Side DE = 20.

Front

What is the definition of congruent figures?

Back

Congruent figures are figures that are identical in shape and size.

Front

If two angles of one triangle are equal to two angles of another triangle, what can we conclude about the triangles?

Back

The triangles are similar (Angle-Angle similarity criterion).

Front

What is the relationship between similar figures and scale factors?

Back

The scale factor is the ratio of the lengths of corresponding sides of similar figures.

Front

If triangle XYZ is similar to triangle PQR and XY = 6, PQ = 9, what is the scale factor from triangle XYZ to triangle PQR?

Back

The scale factor is 3:2.